34813397402784 has 3456 divisors, whose sum is σ = 145674732994560. Its totient is φ = 8088560363520.

The previous prime is 34813397402783. The next prime is 34813397402879. The reversal of 34813397402784 is 48720479331843.

34813397402784 is a `hidden beast` number, since 3 + 4 + 8 + 133 + 97 + 402 + 7 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (34813397402783) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 274121239329 + ... + 274121239455.

It is an arithmetic number, because the mean of its divisors is an integer number (42151253760).

Almost surely, 2^{34813397402784} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34813397402784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72837366497280).

34813397402784 is an abundant number, since it is smaller than the sum of its proper divisors (110861335591776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34813397402784 is a wasteful number, since it uses less digits than its factorization.

34813397402784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 34813397402784 in words is "thirty-four trillion, eight hundred thirteen billion, three hundred ninety-seven million, four hundred two thousand, seven hundred eighty-four".